Abrasive articles including abrasive particles of silicon nitride

ABSTRACT

An abrasive article includes a body having abrasive particles contained within a bond material. The abrasive particles can include a majority content of silicon nitride and a minority content of sintering material including at least two rare-earth oxide materials. In an embodiment, the rare-earth oxide materials can include Nd 2 O 3  and Y 2 O 3 . In a particular embodiment, the abrasive particles comprise a content (wt %) of Nd 2 O 3  that is greater than a content of Y 2 O 3  (wt %).

PRIORITY CLAIM AND CROSS-REFERENCE TO RELATED APPLICATIONS

This application is a continuation of U.S. Non-Provisional patentapplication Ser. No. 13/539,369 filed on Jun. 30, 2012, entitled“Abrasive Articles Including Abrasive Particles of Silicon Nitride,” andnaming Guan Wang et al. as inventors and claims priority to U.S.Provisional Patent Application No. 61/503,479 filed on Jun. 30, 2011,and entitled “Abrasive Articles Including Abrasive Particles of SiliconNitride,” and naming Guan Wang et al. as inventors, which isincorporated by reference herein in its entirety.

BACKGROUND

Field of the Disclosure

This disclosure, in general, relates to abrasive articles incorporatingabrasive particles and more particularly, abrasive articlesincorporating abrasive particles of silicon nitride.

Description of the Related Art

Abrasive articles, such as coated abrasives and bonded abrasives, areused in various industries to machine workpieces, such as by, grinding,or polishing. Machining utilizing abrasive articles spans a wideindustrial scope from optics industries, automotive paint repairindustries, to metal fabrication industries. In each of these examples,manufacturing facilities use abrasives to remove bulk material or affectsurface characteristics of products. For example, abrasive articles,such as abrasive segments may be used when grinding, polishing, orfinishing certain various types of workpieces, including, for example,metal, wood, or stone. However, the industry continues to demandimprovements in abrasive technologies.

SUMMARY

In one aspect, an abrasive article includes a body having abrasiveparticles contained within a bond material. The abrasive particles caninclude a majority content of silicon nitride and a minority content ofsintering material including at least two rare-earth oxide materials. Inan embodiment, the rare-earth oxide materials can include Nd₂O₃ andY₂O₃. In a particular embodiment, the abrasive particles comprise acontent (wt %) of Nd₂O₃ that is greater than a content of Y₂O₃ (wt %).

In another aspect, an abrasive article includes a single-layered bondedabrasive tool having a substrate and a layer of bond material overlyinga surface of the substrate. In an embodiment, the single-layered bondedabrasive tool can also include abrasive particles adhered within thebond material and attached to the surface of the substrate. The abrasiveparticles can comprise liquid-phase sintered silicon nitride.

In an additional aspect, a method includes forming a mixture of siliconnitride, at least two rare earth elements, and at least one sinteringaid. In an embodiment, the at least two rare earth elements includeNd₂O₃ and Y₂O₃. The method also includes treating the mixture to formgreen particles and sintering the green particles to form abrasiveparticles.

BRIEF DESCRIPTION OF THE DRAWINGS

The present disclosure may be better understood, and its numerousfeatures and advantages made apparent to those skilled in the art byreferencing the accompanying drawings.

FIG. 1 includes a flow chart illustrating a method of making siliconnitride abrasive particles in accordance with an embodiment.

FIG. 2 includes a first scanning electron microscope (SEM) image of aportion of a silicon nitride abrasive particle in accordance with anembodiment.

FIG. 3 includes a second SEM image of a portion of a silicon nitrideabrasive particle in accordance with an embodiment.

FIG. 4 includes a third SEM image of a portion of a silicon nitrideabrasive particle in accordance with an embodiment.

FIG. 5 includes an SEM image of a portion of a silicon nitride abrasiveparticle in accordance with an embodiment.

FIG. 6 includes an SEM image of a portion of a conventional siliconnitride abrasive particle.

FIGS. 7-12 include illustrations of shaped abrasive particles includingthe abrasive particulate material according to an embodiment.

FIG. 13 includes a perspective view illustration of an abrasive particlein accordance with an embodiment.

FIG. 14 includes a cross-sectional illustration of a portion of theabrasive particle of FIG. 13.

FIG. 15 includes a perspective view of a bonded abrasive wheelincorporating silicon nitride abrasive particles according to anembodiment;

FIG. 16 includes a perspective view of another bonded abrasive wheelincorporating silicon nitride abrasive particles according to anembodiment;

FIG. 17 includes a perspective view of yet another bonded abrasive wheelincorporating silicon nitride abrasive particles according to anembodiment;

FIG. 18 includes a first bar chart illustrating a G-ratio for variousbonded abrasive grinding wheels during grinding of a white cast ironworkpiece;

FIG. 19 includes a second bar chart illustrating a G-ratio for variousbonded abrasive grinding wheels during grinding of a titanium alloyworkpiece.

FIG. 20 includes a third bar chart illustrating a G-ratio for additionalbonded abrasive grinding wheels during grinding of a titanium alloyworkpiece;

FIG. 21 includes a fourth bar chart illustrating a G-ratio foradditional bonded abrasive grinding wheels during grinding of a whitecast iron workpiece.

The use of the same reference symbols in different drawings indicatessimilar or identical items.

DETAILED DESCRIPTION

Referring initially to FIG. 1, a method of making silicon nitrideabrasive particles is shown and is generally designated 100. The method100 commences at 102 by forming a dry mixture including silicon nitride,at least one rare earth element, and at least one sintering aid in amixer.

In a particular embodiment, the rare earth element may include a rareearth oxide. For example, the rare earth oxide may be selected from thegroup of Y₂O₃, Nd₂O₃, La₂O₃, and a combination thereof. Further, therare earth oxide may include at least two different rare earth oxidecompositions. For example, the mixture can include the rare earth oxidesY₂O₃ and Nd₂O₃. and particularly can consist essentially of Y₂O₃ andNd₂O₃.

The sintering aid may include an oxide material. For example, thesintering aid may include Al₂O₃, MgO, TiO₂, and a combination thereof.

In an embodiment, the mixture can include other materials, such as AlNand TiC that aid in the formation of silicon nitride abrasive particles.In some instances, AlN can serve as an additional sintering aid and TiCcan serve to strengthen the abrasive particles.

It will be appreciated that the sintering aid may be a powderedsintering aid. In an embodiment, an average particle size of thesintering aid can be at least about 0.8 microns, at least about 2microns, or at least about 5 microns. In another embodiment, the averageparticle size of the sintering aid can be no greater than about 12microns, no greater than about 10 microns, or no greater than about 7microns. It will be appreciated that the average particle size of thesintering aid can be within a range between, or including, any of theminimum and maximum values noted above.

Additionally, the silicon nitride can be provided in the form of apowder. In one embodiment, the silicon nitride can include an averageparticle size of at least approximately 0.4 microns, at leastapproximately 1.1 microns, or at least approximately 1.7 microns. Inanother embodiment, the silicon nitride can include an average particlesize of no greater than approximately 5.5 microns, no greater thanapproximately 3.9 microns, or no greater than approximately 2.5 microns.It will be appreciated that the average particle size of the siliconnitride can be within a range between, or including, any of the minimumand maximum sizes noted above. In a particular illustrative embodiment,the silicon nitride can include an average particle size within a rangeof approximately 0.4 microns to approximately 2 microns. Further, thesilicon nitride can have a specific surface area of within a range ofapproximately 9 m²/g to approximately 13 m²/g. In some instances, thesilicon nitride powder can include impurities, such as oxygen, carbon,chlorine, iron, aluminum, and calcium. The impurities can be present intrace amounts.

In an embodiment, the mixture can include at least approximately 80 wt %silicon nitride powder for the total weight of the mixture, at leastapproximately 83 wt % silicon nitride powder for the total weight of themixture, or at least approximately 86 wt % silicon nitride powder forthe total weight of the mixture. In another embodiment, the mixture mayinclude no greater than approximately 93 wt % for the total weight ofthe mixture, no greater than approximately 91 wt % for the total weightof the mixture, or no greater than approximately 88 wt % for the totalweight of the mixture. It will be appreciated that the content ofsilicon nitride powder in the mixture can be within a range between, orincluding, any of the minimum and maximum sizes noted above.

In some instances, the mixture can include at least approximately 0.5 wt% of a rare earth oxide for the total weight of the mixture, at leastapproximately 3.1 wt % of a rare earth oxide for the total weight of themixture, or at least approximately 5.8 wt % of a rare earth oxide forthe total weight of the mixture. In other cases, the mixture may includeno greater than approximately 15.8 wt % of a rare earth oxide for thetotal weight of the mixture, no greater than approximately 12.7 wt % ofa rare earth oxide for the total weight of the mixture, no greater thanapproximately 9.3 wt % of a rare earth oxide for the total weight of themixture, or no greater than approximately 7.6 wt % of a rare earth oxidefor the total weight of the mixture. It will be appreciated that thecontent of a rare earth oxide in the mixture can be within a rangebetween, or including, any of the minimum and maximum values notedabove.

In certain situations, the mixture can include at least approximately0.3 wt % of a sintering aid for the total weight of the mixture, atleast approximately 2.6 wt % of a sintering aid for the total weight ofthe mixture, or at least approximately 5.2 wt % of a sintering aid forthe total weight of the mixture. In other situations, the mixture caninclude no greater than approximately 13.2 wt % of a sintering aid forthe total weight of the mixture, no greater than approximately 10.4 wt %of a sintering aid for the total weight of the mixture, or no greaterthan approximately 7.7 wt % of a sintering aid for the total weight ofthe mixture. It will be appreciated that the content of the sinteringaid in the mixture can be within a range between, or including, any ofthe minimum and maximum values noted above.

In some embodiments, a total sintering aid content in the mixture caninclude one or more of the sintering aids noted previously, such asAl₂O₃, MgO, and TiO₂, one or more rare earth oxides, AlN, or acombination thereof. In a particular embodiment, the mixture can includea total sintering aid content of at least approximately 0.7 wt % for thetotal weight of the mixture, at least approximately 4.6 wt % for thetotal weight of the mixture, or at least approximately 7.2 wt % for thetotal weight of the mixture. In other cases, the mixture can include atotal sintering aid content of no greater than approximately 16.4 wt %of a sintering aid for the total weight of the mixture, no greater thanapproximately 13.8 wt % of a sintering aid for the total weight of themixture, no greater than approximately 9.3 wt % for the total weight ofthe mixture, or no greater than approximately 7.6 wt % for the totalweight of the mixture. It will be appreciated that the total sinteringaid content in the mixture can be within a range between, or including,any of the minimum and maximum values noted above. In a particularillustrative embodiment, the total sintering aid content for the mixturecan be within a range of approximately 8 wt % to approximately 13 wt %for the total weight of the mixture.

At 104, the method 100 may include altering the mixture including thesilicon nitride, the rare earth element, the sintering aid, and anyother additional materials. The mixture of silicon nitride, the rareearth element, and the sintering aid may be altered by milling themixture in a milling machine along with a liquid carrier.

The liquid carrier may include organic or inorganic materials. Forexample, in one embodiment, the liquid carrier can include water (H₂O).The liquid carrier may also include an alcohol, such as isopropylalcohol (IPA). Specifically, in one embodiment, the liquid carrier mayinclude at least 70 vol % H₂O, at least 75 vol % H₂O, or even at least80 vol % H₂O for the total volume of the mixture. Further, the liquidcarrier may include not greater than 95 vol % H₂O, not greater than 90vol % H₂O, or not greater than 85 vol % H₂O. It will be appreciated thatthe amount of H₂O may be within a range between, or including, any ofthe minimum and maximum percentages noted above.

The liquid carrier may include at least 5 vol % IPA, at least 10 vol %IPA, at least 15 vol % IPA, or even at least 20 vol % IPA for the totalvolume of the mixture. The liquid carrier may include no greater than 30vol % IPA or no greater than 25 vol % IPA. It will be appreciated thatthe amount of IPA may be within a range between, or including, any ofthe minimum and maximum percentages noted above.

The mixture may be milled to achieve a particular particle size. Forexample, milling can be conducted until the milled mixture has anaverage particle size of at least about 0.4 microns, at least about 0.6microns, or at least about 0.8 microns. Further, the milled mixture canhave an average particle size of no greater than about 1.4 microns, nogreater than about 1.1 microns, or no greater than about 0.9 microns. Itwill be appreciated that the average particle size can be within a rangebetween, or including, any of the minimum and maximum sizes noted above.

In an embodiment, the mixture can be milled to achieve particles with aspecific surface area of about 8.8 m²/g, at least about 10.4 m²/g, or atleast about 12.5 m²/g. The mixture can also be milled to achieveparticles with a specific surface area of no greater than about 15.3m²/g, no greater than about 13.9 m²/g, or no greater than about 12.8m2/g. It will be appreciated that the specific surface area of theparticles of the mixture can be within a range between, or including,any of the minimum and maximum values noted above.

In certain situations, AlN can be added to the mixture before themilling process such that the AlN is milled along with the othermaterials of the mixture. In other situations, AlN can be added to themilled mixture.

Moving to 106, the method 100 may include treating the milled mixture toyield green particles. For example, treating the milled mixture mayinclude the application of temperature, the application of pressure, theapplication of a chemical to facilitate a change in the milled mixture,or a combination thereof. The application of temperature may include acooling process or a heating process. Further, treating the milledmixture may include sintering. However, according to one particularembodiment, treating the milled mixture may include freeze-drying themilled mixture.

In one embodiment, the freeze-drying can take place at a temperature ofat least approximately −60° C., at least approximately −57° C., or atleast approximately −55° C. In other situations, the freeze drying cantake place at a temperature no greater than about −30° C., no greaterthan about −38° C., or no greater than about −45° C. It will beappreciated that the freeze drying process can take place within a rangebetween, or including, any of the minimum and maximum values note above.In an illustrative embodiment, the freeze drying operation can takeplace at a temperature within a range of about −55° C. to about −45° C.

In additional embodiments, the freeze drying process can take place at arelative humidity no greater than about 18%, no greater than about 14%,no greater than about 8%, or no greater than about 4%.

Further, the freeze drying process can have a duration of at least about1.2 hours, at least about 1.5 hours, or at least about 1.8 hours. Inother cases, the freeze drying process can have a duration of no greaterthan about 2.8 hours, no greater than about 2.3 hours, or no greaterthan about 2.0 hours. It will be appreciated that the duration of thefreeze drying process can be within a range between, or including, anyof the minimum and maximum values noted above.

It can be appreciated that freeze-drying the milled mixture may resultin particles that have a particular morphology. For example, theparticles can be elongated or substantially acicular (i.e., needleshaped). The particles may have an aspect ratio of length:width of atleast about 1.3, at least about 2:1, at least about 5:1, or at leastabout 10:1. Still, in certain instances, the aspect ratio may be nogreater than about 65:1, no greater than about 40:1, no greater thanabout 20:1, no greater than about 15:1, or no greater than about 12:1.It will be appreciated that the aspect ratio can be within a rangebetween, or including, any of the minimum and maximum ratios notedabove.

In some instances, a length of the freeze-dried particles can be atleast about 0.1 microns, at least about 1.2 microns, or at least about2.3 microns. Additionally, a length of the freeze-dried particles can beno greater than about 5.7 microns, no greater than about 3.9 microns, orno greater than about 3.1 microns. It will be appreciated that thelength of the freeze-dried particles can be within a range between, orincluding, any of the minimum and maximum sizes noted above. In aparticular illustrative embodiment, the average length of thefreeze-dried particles can be within a range of about 0.8 microns toabout 1.4 microns.

In some embodiments, the width of the freeze-dried particles can be atleast about 0.06 microns, at least about 0.2 microns, or at least about0.6 microns. Further, the width of the freeze-dried particles may be nogreater than about 1.4 microns, no greater than about 1.1 microns, or nogreater than about 0.8 microns. It will be appreciated that the width ofthe freeze-dried particles can be within a range between, or including,any of the minimum and maximum sizes noted above. In a particularillustrative embodiment, the average width of the freeze-dried particlescan be within a range of about 0.15 to about 0.40 microns.

After the treating process at 106, the method 100 may continue to 108where the method 100 may include sorting the green particles. Thesorting process undertaken at 108 may include sorting the greenparticles by size, shape, or a combination thereof. Further, the sortingprocess may include sieving the green particles.

In one embodiment, the green particles may be screened in order to sortthe green particles into one or more different abrasive grit sizes usingone or more mesh screens. In some aspects, the screening process canprovide green particles having an average particle size of at leastabout 220 microns, at least about 300 microns, or at least about 370microns. In other aspects, the screening process can provide greenparticles having an average particle size of no greater than about 580microns, no greater than about 510 microns, or no greater than about 440microns. It will be appreciated that the average particle size of thescreened green particles is within a range between, or including, any ofthe minimum and maximum values noted above. In one particularillustrative embodiment, the average particle size of the screened greenparticles can be within a range of about 545 microns to about 400microns. In another particular illustrative embodiment, the averageparticle size of the screened green particles can be within a range ofabout 250 microns to about 400 microns.

At 110, the method 100 may include treating the green particles to yieldabrasive particles. For example, treating the green particles mayinclude the application of temperature, the application of pressure, theapplication of a chemical to facilitate a physical change in the greenparticles, or a combination thereof. In one particular embodiment,treating the green particles may include sintering the green particles.Sintering can include a process of applying elevated temperatures toaffect densification and grain growth in the green particles to yieldsintered abrasive particles. In some instances, the sintering processcan include a pressureless sintering process.

The green particles may be sintered at a temperature that is at leastabout 1600° C., at least about 1650° C., or at least about 1700° C.Further, the green particles may be sintered at a temperature greater nogreater than about 1825° C., no greater than about 1780° C., or nogreater than about 1750° C. It will be appreciated that the sinteringtemperature can be within a range between, or including, any of theminimum and maximum temperatures noted above.

In an embodiment, the green particles can be sintered for a duration ofat least about 75 minutes, at least about 82 minutes, or at least about90 minutes. In another embodiment, the green particles can be sinteredfor a duration of no greater than about 105 minutes, no greater thanabout 98 minutes, or no greater than about 93 minutes. It will beappreciated that the duration of the sintering operation can be within arange between, or including, any of the minimum and maximum temperaturesnoted above.

The green particles may be sintered in a particular sinteringatmosphere. For example, the sintering atmosphere may comprise an inertgas including, for example, noble gases such as neon or argon, oralternatively an inert species such as nitrogen. A combination of suchgases may be used. In other instances, the sintering atmosphere caninclude a reducing gas.

In another embodiment, the treating process, and more particularly, thesintering process may also include the application of elevated pressuresto the green particles. For example, the green particles may be treatedby hot isostatic pressing (HIPing) The green particles can be hotisostatically pressed at a temperature that is at least about 1730° C.,at least about 1750° C., or at least about 1780° C. Further, the greenparticles may be hot isostatically pressed at a temperature no greaterthan about 1870° C., no greater than about 1840° C., or no greater thanabout 1800° C. It will be appreciated that the hot isostatic pressingtemperature can be within a range between, or including, any of theminimum and maximum temperatures noted above.

Further, according to one embodiment, hot isostatic pressing of thegreen particles can be conducted for a duration of at least about 1.3hours, at least about 1.6 hours, or even at least about 1.8 hours. Inanother embodiment, hot isostatic pressing of the green particles can beconducted for a duration no greater than about 2.6 hours, no greaterthan about 2.3 hours, or even no greater than about 2.0 hours. It willbe appreciated that the hot isostatic pressing duration can be within arange between, or including, any of the minimum and maximum times notedabove.

According to one embodiment, the green particles can undergo hotisostatic pressing at a particular pressure to facilitate the formationof abrasive particles according to the embodiments herein. For examplethe green particles can be hot isostatically pressed at a pressure of atleast about 100 MPa, at least about 145 MPa, or at least about 180 MPa.Moreover, the green particles can be hot isostatically pressed at apressure not greater than about 260 MPa, not greater than about 225 MPa,or not greater than about 205 MPa. It will be appreciated that thepressure can be within a range between, or including, any of the minimumand maximum pressures noted above.

At 112, the method 100 may include altering the abrasive particles. Theabrasive particles may be altered by milling the mixture in a millingmachine. In some embodiments, the milling process can include jetmilling, a crushing operation, or a combination thereof.

After altering the abrasive particles at 112, the method 100 maycontinue to 114 where the method 100 may include sorting the abrasiveparticles. The sorting process undertaken at 114 may include sorting theabrasive particles by size, shape, or a combination thereof. Further,the sorting process may include sieving the silicon nitride abrasiveparticles.

In one embodiment, the abrasive particles may be screened in order tosort the abrasive particles into one or more different abrasive gritsizes using one or more mesh screens.

The abrasive particles can have an average particle size of at leastabout 5 microns, at least about 18 microns, or at least about 32microns. Further, the abrasive particles can have an average particlesize of no greater than about 300 microns, no greater than about 135microns, no greater than about 75 microns, no greater than about 63microns, or no greater than about 54 microns. It will be appreciatedthat the average particle size can be within a range between, orincluding, any of the minimum and maximum sizes noted above.

In some situations, the abrasive particles can have a theoreticaldensity of at least about 85%, at least about 89%, or at least about94%. In other instances, the abrasive particles can have a theoreticaldensity no greater than about 99.5%, no greater than about 98%, or nogreater than about 96%. It will be appreciated that the abrasiveparticles can have a theoretical density within a range between, orincluding, any of the minimum and maximum values noted above.

FIG. 2 through FIG. 5 include illustrations of various SEM images of aportion of an abrasive particle 200, an abrasive particle 300, anabrasive particle 400, and an abrasive particle 500, respectively. Inparticular, the abrasive particle 200 of FIG. 2 is formed according toembodiments described herein from a silicon nitride powder having aspecific surface area within a range of about 8 m²/g to about 12 m²/g.The silicon nitride powder was subject to pressureless sintering and hotisostatic pressing. The abrasive particle 200 has a theoretical densityof at least about 98%. In addition, the abrasive particle 300 of FIG. 3is formed according to embodiments described herein. In particular, theabrasive particle 300 was formed from a silicon nitride powder having aspecific surface area within a range of about 8 m²/g to about 12 m²/g.The silicon nitride powder was subject to pressureless sintering and didnot undergo a hot isostatic pressing process. Further, the abrasiveparticle 400 of FIG. 4 is formed according to embodiments describedherein using a silicon nitride powder having a specific surface areawithin a range of about 4 m²/g to about 6 m²/g. The silicon nitridepowder was subject to pressureless sintering and did not undergo a hotisostatic pressing process.

The abrasive particles 200, 300, 400 can include a plurality ofelongated, or acicular, grains dispersed within a bond material. FIG. 2through FIG. 5 indicate that the elongated grains can have an averageparticle size of at least about 0.1 microns, at least about 0.2 micron,at least about 0.5 microns, or at least about 0.8 microns. Further, theelongated grains can have an average particle size of not greater thanabout 1.5 microns, not greater than about 1.2 microns, not greater thanabout 1.1 microns, or even not greater than about 1 microns. It will beappreciated that the average particle size can be within a rangebetween, or including, any of the minimum and maximum sizes noted above.

Further, as depicted in FIG. 2 through FIG. 5, the elongated grains canhave an aspect ratio of length:width of at least about 2:1, at leastabout 5:1, or at least about 10:1. Further, the aspect ratio may be nogreater than about 65:1, no greater than about 20:1, no greater thanabout 15:1, or no greater than about 12:1. It will be appreciated thatthe aspect ratio can be within a range between, or including, any of theminimum and maximum ratios noted above.

FIG. 6 includes an SEM image of a portion of a conventional siliconnitride abrasive particle 600. The silicon nitride abrasive particle 600includes a number of voids, such as voids 602.

In some embodiments, the abrasive particles can be formed to have aspecific shape or contour. Suitable forming techniques can includeextrusion, molding, screen printing, casting, punching, embossing,pressing, cutting, and a combination thereof. For example, the abrasiveparticles can have a specific contour, such as a polyhedral shape,including for example, triangular, rectangular, pentagonal, hexagonal,conical, helical, elliptical, and elongated shapes. The abrasiveparticles may include a combination of such shapes. In one particularembodiment, the abrasive particles can be formed of a body having acomplex three-dimensional geometry including 3-fold symmetry in threeperpendicular planes defined by a longitudinal axis, a lateral axis, anda vertical axis.

FIGS. 7-12 include exemplary abrasive particulate material havingspecific contours and defining shaped abrasive particles, which canincorporate the compositions described herein. As shown in FIG. 7, theshaped abrasive particle 700 may include a body 701 that is generallyprismatic with a first end face 702 and a second end face 704. Further,the shaped abrasive particle 700 may include a first side face 710extending between the first end face 702 and the second end face 704. Asecond side face 712 may extend between the first end face 702 and thesecond end face 704 adjacent to the first side face 710. As shown, theshaped abrasive particle 700 may also include a third side face 714extending between the first end face 702 and the second end face 704adjacent to the second side face 712 and the first side face 710.

As depicted in FIG. 7, the shaped abrasive particle 700 may also includea first edge 720 between the first side face 710 and the second sideface 712. The shaped abrasive particle 700 may also include a secondedge 722 between the second side face 712 and the third side face 714.Further, the shaped abrasive particle 700 may include a third edge 724between the third side face 714 and the first side face 712.

As shown, each end face 702, 704 of the shaped abrasive particle 700 maybe generally triangular in shape. Each side face 710, 712, 714 may begenerally rectangular in shape. Further, the cross section of the shapedabrasive particle 700 in a plane parallel to the end faces 702, 704 canbe generally triangular. It will be appreciated that while thecross-sectional shape of the shaped abrasive particle 700 through aplane parallel to the end faces 702, 704 is illustrated as beinggenerally triangular, other shapes are possible, including any polygonalshapes, for example a quadrilateral, a pentagon, a hexagon, a heptagon,an octagon, a nonagon, a decagon, etc. Further, the cross-sectionalshape of the shaped abrasive particle may be convex, non-convex,concave, or non-concave.

FIG. 8 includes an illustration of a shaped abrasive particle accordingto another embodiment. As depicted, the shaped abrasive particle 800 mayinclude a body 801 that may include a central portion 802 that extendsalong a longitudinal axis 804. A first radial arm 806 may extendoutwardly from the central portion 802 along the length of the centralportion 802. A second radial arm 808 may extend outwardly from thecentral portion 802 along the length of the central portion 802. A thirdradial arm 810 may extend outwardly from the central portion 802 alongthe length of the central portion 802. Moreover, a fourth radial arm 812may extend outwardly from the central portion 802 along the length ofthe central portion 802. The radial arms 806, 808, 810, 812 may beequally spaced around the central portion 802 of the shaped abrasiveparticle 800.

As shown in FIG. 8, the first radial arm 806 may include a generallyarrow shaped distal end 820. The second radial arm 808 may include agenerally arrow shaped distal end 822. The third radial arm 810 mayinclude a generally arrow shaped distal end 824. Further, the fourthradial arm 812 may include a generally arrow shaped distal end 826.

FIG. 8 also indicates that the shaped abrasive particle 800 may beformed with a first void 830 between the first radial arm 806 and thesecond radial arm 808. A second void 832 may be formed between thesecond radial arm 808 and the third radial arm 810. A third void 834 mayalso be formed between the third radial arm 810 and the fourth radialarm 812. Additionally, a fourth void 836 may be formed between thefourth radial arm 812 and the first radial arm 806.

As shown in FIG. 8, the shaped abrasive particle 800 may include alength 840, a height 842, and a width 844. In a particular aspect, thelength 840 is greater than the height 842 and the height 842 is greaterthan the width 844. In a particular aspect, the shaped abrasive particle800 may define a primary aspect ratio that is the ratio of the length840 to the height 842 (length:width). Further, the shaped abrasiveparticle 800 may define a secondary aspect ratio that is the ratio ofthe height 842 to the width 844 (width:height). Finally, the shapedabrasive particle 800 may define a tertiary aspect ratio that is theratio of the length 840 to the width 842 (length:height).

According to one embodiment, the shaped abrasive particles can have aprimary aspect ratio of at least about 1:1, such as at least about1.1:1, at least about 1.5:1, at least about 2:1, at least about 2.5:1,at least about 3:1, at least about 3.5:1, at least 4:1, at least about4.5:1, at least about 5:1, at least about 6:1, at least about 7:1, atleast about 8:1, or even at least about 10:1.

In another instance, the shaped abrasive particle can be formed suchthat the body has a secondary aspect ratio of at least about 0.5:1, suchas at least about 0.8:1, at least about 1:1, at least about 1.5:1, atleast about 2:1, at least about 2.5:1, at least about 3:1, at leastabout 3.5:1, at least 4:1, at least about 4.5:1, at least about 5:1, atleast about 6:1, at least about 7:1, at least about 8:1, or even atleast about 10:1.

Furthermore, certain shaped abrasive particles can have a tertiaryaspect ratio of at least about 1:1, such as at least about 1.5:1, atleast about 2:1, at least about 2.5:1, at least about 3:1, at leastabout 3.5:1, at least 4:1, at least about 4.5:1, at least about 5:1, atleast about 6:1, at least about 7:1, at least about 8:1, or even atleast about 10:1.

Certain embodiments of the shaped abrasive particle 800 can have a shapewith respect to the primary aspect ratio that is generally rectangular,e.g., flat or curved. The shape of the shaped abrasive particle 800 withrespect to the secondary aspect ratio may be any polyhedral shape, e.g.,a triangle, a square, a rectangle, a pentagon, etc. The shape of theshaped abrasive particle 800 with respect to the secondary aspect ratiomay also be the shape of any alphanumeric character, e.g., 1, 2, 3,etc., A, B, C. etc. Further, the contour of the shaped abrasive particle800 with respect to the secondary aspect ratio may be a characterselected from the Greek alphabet, the modern Latin alphabet, the ancientLatin alphabet, the Russian alphabet, any other alphabet, or anycombination thereof. Further, the shape of the shaped abrasive particle800 with respect to the secondary aspect ratio may be a Kanji character.

FIGS. 9-10 depict another embodiment of a shaped abrasive particle thatis generally designated 900. As shown, the shaped abrasive particle 900may include a body 901 that has a generally cube-like shape. It will beappreciated that the shaped abrasive particle may be formed to haveother polyhedral shapes. The body 901 may have a first end face 902 anda second end face 904, a first lateral face 906 extending between thefirst end face 902 and the second end face 904, a second lateral face908 extending between the first end face 902 and the second end face904. Further, the body 901 can have a third lateral face 910 extendingbetween the first end face 902 and the second end face 904, and a fourthlateral face 912 extending between the first end face 902 and the secondend face 904.

As shown, the first end face 902 and the second end face 904 can beparallel to each other and separated by the lateral faces 906, 908, 910,and 912, giving the body a cube-like structure. However, in a particularaspect, the first end face 902 can be rotated with respect to the secondend face 904 to establish a twist angle 914. The twist of the body 901can be along one or more axes and define particular types of twistangles. For example, as illustrated in a top-down view of the body inFIG. 10 looking down the longitudinal axis 980 defining a length of thebody 901 on the end face 902 parallel to a plane defined by the lateralaxis 981 extending along a dimension of width of the body 901 and thevertical axis 982 extending along a dimension of height of the body 901.According to one embodiment, the body 901 can have a longitudinal twistangle 914 defining a twist in the body 901 about the longitudinal axissuch that the end faces 902 and 904 are rotated relative to each other.The twist angle 914, as illustrated in FIG. 10 can be measured as theangle between a tangent of a first edge 922 and a second edge 924,wherein the first edge 922 and second edge 924 are joined by and share acommon edge 926 extending longitudinally between two of the lateralfaces (910 and 912). It will be appreciated that other shaped abrasiveparticles can be formed to have twist angles relative to the lateralaxis, the vertical axis, and a combination thereof. Any of such twistangles can have a value as described herein.

In a particular aspect, the twist angle 914 is at least about 1°. Inother instances, the twist angle can be greater, such as at least about2°, at least about 5°, at least about 8°, at least about 10°, at leastabout 12°, at least about 15°, at least about 18°, at least about 20°,at least about 25°, at least about 30°, at least about 40°, at leastabout 50°, at least about 60°, at least about 70°, at least about 80°,or even at least about 90°. Still, according to certain embodiments, thetwist angle 914 can be not greater than about 360°, such as not greaterthan about 330°, such as not greater than about 300°, not greater thanabout 270°, not greater than about 230°, not greater than about 200°, oreven not greater than about 180°. It will be appreciated that certainshaped abrasive particles can have a twist angle within a range betweenany of the minimum and maximum angles noted above.

Further, the body may include an opening that extends through the entireinterior of the body along one of the longitudinal axis, lateral axis,or vertical axis.

FIG. 11 includes an illustration of another embodiment of a shapedabrasive particle. As shown, the shaped abrasive particle 1100 mayinclude a body 1101 having a generally pyramid shaped with a generallytriangle shaped bottom face 1102. The body can further include sides1116, 1117, and 1118 connected to each other and the bottom face 1102.It will be appreciated that while the body 1101 is illustrated as havinga pyramidal polyhedral shape, other shapes are possible, as describedherein/

According to one embodiment, the shaped abrasive particle 1100 may beformed with a hole 1104 (i.e., and opening) that can extend through atleast a portion of the body 1101, and more particularly may extendthrough an entire volume of the body 1101. In a particular aspect, thehole 1104 may define a central axis 1106 that passes through a center ofthe hole 1104. Further, the shaped abrasive particle 1100 may alsodefine a central axis 1108 that passes through a center 1130 of theshaped abrasive particle 1100. It may be appreciated that the hole 1104may be formed in the shaped abrasive particle 1100 such that the centralaxis 1106 of the hole 1104 is spaced apart from the central axis 1108 bya distance 1110. As such, a center of mass of the shaped abrasiveparticle 1100 may be moved below the geometric midpoint 1130 of theshaped abrasive particle 1100, wherein the geometric midpoint 1130 canbe defined by the intersection of a longitudinal axis 1109, verticalaxis 1111, and the central axis (i.e., lateral axis) 1108. Moving thecenter of mass below the geometric midpoint 1130 of the shaped abrasivegrain can increase the likelihood that the shaped abrasive particle 1100lands on the same face, e.g., the bottom face 1102, when dropped, orotherwise deposited, onto a backing, such that the shaped abrasiveparticle 1100 has a predetermined, upright orientation.

In a particular embodiment, the center of mass is displaced from thegeometric midpoint 1130 by a distance that can be at least about 0.05the height (h) along a vertical axis 1110 of the body 1102 defining aheight. In another embodiment, the center of mass may be displaced fromthe geometric midpoint 1130 by a distance of at least about 0.1 (h),such as at least about 0.15 (h), at least about 0.18 (h), at least about0.2 (h), at least about 0.22 (h), at least about 0.25 (h), at leastabout 0.27 (h), at least about 0.3 (h), at least about 0.32 (h), atleast about 0.35 (h), or even at least about 0.38 (h). Still, the centerof mass of the body 1101 may be displaced a distance from the geometricmidpoint 830 of no greater than 0.5 (h), such as no greater than 0.49(h), no greater than 0.48 (h), no greater than 0.45 (h), no greater than0.43 (h), no greater than 0.40 (h), no greater than 0.39 (h), or even nogreater than 0.38 (h). It will be appreciated that the displacementbetween the center of mass and the geometric midpoint can be within arange between any of the minimum and maximum values noted above.

In particular instances, the center of mass may be displaced from thegeometric midpoint 1130 such that the center of mass is closer to abase, e.g., the bottom face 1102, of the body 1101, than a top of thebody 1101 when the shaped abrasive particle 1100 is in an uprightorientation as shown in FIG. 11.

In another embodiment, the center of mass may be displaced from thegeometric midpoint 1130 by a distance that is at least about 0.05 thewidth (w) along a lateral axis 1108 of the of the body 1101 defining thewidth. In another aspect, the center of mass may be displaced from thegeometric midpoint 1130 by a distance of at least about 0.1 (w), such asat least about 0.15 (w), at least about 0.18 (w), at least about 0.2(w), at least about 0.22 (w), at least about 0.25 (w), at least about0.27 (w), at least about 0.3 (w), or even at least about 0.35 (w).Still, in one embodiment, the center of mass may be displaced a distancefrom the geometric midpoint 1130 no greater than 0.5 (w), such as nogreater than 0.49 (w), no greater than 0.45 (w), no greater than 0.43(w), no greater than 0.40 (w), or even no greater than 0.38 (w).

In another embodiment, the center of mass may be displaced from thegeometric midpoint 1130 along the longitudinal axis 1109 by a distance(D₁) of at least about 0.05 the length (l) of the body 1101. Accordingto a particular embodiment, the center of mass may be displaced from thegeometric midpoint by a distance of at least about 0.1 (l), such as atleast about 0.15 (l), at least about 0.18 (l), at least about 0.2 (l),at least about 0.25 (l), at least about 0.3 (l), at least about 0.35(l), or even at least about 0.38 (l). Still, for certain abrasiveparticles, the center of mass can be displaced a distance no greaterthan about 0.5 (l), such as no greater than about 0.45 (l), or even nogreater than about 0.40 (l).

FIG. 12 includes an illustration of a shaped abrasive particle accordingto an embodiment. The shaped abrasive grain 1200 may include a body 1201including a base surface 1202 and an upper surface 1204 separated fromeach other by one or more side surfaces 1210, 1212, and 1214. Accordingto one particular embodiment, the body 1201 can be formed such that thebase surface 1202 has a planar shape different than a planar shape ofthe upper surface 1204, wherein the planar shape is viewed in the planedefined by the respective surface. For example, as illustrated in theembodiment of FIG. 12, the body 1201 can have base surface 1202generally have a circular shape and an upper surface 1204 having agenerally triangular shape. It will be appreciated that other variationsare feasible, including any combination of shapes at the base surface1202 and upper surface 1204.

Additionally, the body of the shaped abrasive particles can haveparticular two-dimensional shapes. For example, the body can have atwo-dimensional shape as viewed in a plane defined by the length andwidth having a polygonal shape, ellipsoidal shape, a numeral, a Greekalphabet character, Latin alphabet character, Russian alphabetcharacter, complex shapes utilizing a combination of polygonal shapesand a combination thereof. Particular polygonal shapes includetriangular, rectangular, quadrilateral, pentagon, hexagon, heptagon,octagon, nonagon, decagon, any combination thereof.

FIG. 13 includes a perspective view illustration of an abrasive particlein accordance with an embodiment. Additionally, FIG. 14 includes across-sectional illustration of a portion of the abrasive particle ofFIG. 13. The body 1301 includes an upper surface 1303 a bottom majorsurface 1304 opposite the upper surface 1303. The upper surface 1303 andthe bottom surface 1304 can be separated from each other by sidesurfaces 1305, 1306, and 1307. As illustrated, the body 1301 of theshaped abrasive particle 1300 can have a generally triangular shape asviewed in a plane of the upper surface 1303 defined by the length (l)and width (w) of the body 1301. In particular, the body 1301 can have alength (l), a width (w) extending through a midpoint 1381 of the body1301.

In accordance with an embodiment, the body 1301 of the shaped abrasiveparticle can have a first height (h1) at a first end of the body definedby a corner 1313. Notably, the corner 1313 may represent the point ofgreatest height on the body 1301. The corner can be defined as a pointor region on the body 1301 defined by the joining of the upper surface1303, and two side surfaces 1305 and 1307. The body 1301 may furtherinclude other corners, spaced apart from each other, including forexample corner 1311 and corner 1312. As further illustrated, the body1301 can include edges 1314, 1315, and 1316 that can separated from eachother by the corners 1311, 1312, and 1313. The edge 1314 can be definedby an intersection of the upper surface 1303 with the side surface 1306.The edge 1315 can be defined by an intersection of the upper surface1303 and side surface 1305 between corners 1311 and 1313. The edge 1316can be defined by an intersection of the upper surface 1303 and sidesurface 1307 between corners 1312 and 1313.

As further illustrated, the body 1301 can include a second height (h2)at a second end of the body 1301, which is defined by the edge 1314, andfurther which is opposite the first end defined by the corner 1313. Theaxis 1350 can extend between the two ends of the body 1301. FIG. 14 is across-sectional illustration of the body 1301 along the axis 1350, whichcan extend through a midpoint 1381 of the body along the dimension ofwidth (w) between the ends of the body 1301.

In accordance with an embodiment, the shaped abrasive particles of theembodiments herein, including for example, the abrasive particle ofFIGS. 13 and 14 can have an average difference in height, which is ameasure of the difference between h1 and h2. More particularly, theaverage difference in height can be calculated based upon a plurality ofshaped abrasive particles from a sample. The sample can include arepresentative number of shaped abrasive particles, which may berandomly selected from a batch, such as at least 8 particles, or even atleast 10 particles. A batch can be a group of shaped abrasive particlesthat are produced in a single forming process, and more particularly, inthe same, single forming process. The average difference can be measuredvia using a STIL (Sciences et Techniques Industrielles de laLumiere—France) Micro Measure 3D Surface Profilometer (white light (LED)chromatic aberration technique).

In particular instances, the average difference in height [h1-h2],wherein h1 is greater, can be at least about 50 microns. In still otherinstances, the average difference in height can be at least about 60microns, such as at least about 65 microns, at least about 70 microns,at least about 75 microns, at least about 80 microns, at least about 90microns, or even at least about 100 microns. In one non-limitingembodiment, the average difference in height can be not greater thanabout 300 microns, such as not greater than about 250 microns, notgreater than about 220 microns, or even not greater than about 180microns. It will be appreciated that the average difference in heightcan be within a range between any of the minimum and maximum valuesnoted above.

Moreover, the shaped abrasive particles herein, including for examplethe particle of FIGS. 13 and 14, can have a profile ratio of averagedifference in height [h1-h2] to profile length (l_(p)) of the shapedabrasive particle, defined as [(h1-h2)/(l_(p))] of at least about 0.04.It will be appreciated that the profile length of the body can be alength of the scan across the body used to generate the data of h1 andh2 between opposite ends of the body. Moreover, the profile length maybe an average profile length calculated from a sample of multipleparticles that are measured. In certain instances, the profile length(l_(p)) can be the same as the width as described in embodiments herein.According to a particular embodiment, the profile ratio can be at leastabout 0.05, at least about 0.06, at least about 0.07, at least about0.08, or even at least about 0.09. Still, in one non-limitingembodiment, the profile ratio can be not greater than about 0.3, such asnot greater than about 0.2, not greater than about 0.18, not greaterthan about 0.16, or even not greater than about 0.14. It will beappreciated that the profile ratio can be within a range between any ofthe minimum and maximum values noted above.

Moreover, the shaped abrasive particles of the embodiments herein,including for example, the body 1301 of the particle of FIGS. 13 and 14can have a bottom surface 1304 defining a bottom area (A_(b)). Inparticular instances the bottom surface 1304 can be the largest surfaceof the body 1301. The bottom surface can have a surface area defined asthe bottom area (A_(b)) that is greater than the surface area of theupper surface 1303. Additionally, the body 1301 can have across-sectional midpoint area (A_(m)) defining an area of a planeperpendicular to the bottom area and extending through a midpoint 1381of the particle. In certain instances, the body 1301 can have an arearatio of bottom area to midpoint area (A_(b)/A_(m)) of not greater thanabout 6. In more particular instances, the area ratio can be not greaterthan about 5.5, such as not greater than about 5, not greater than about4.5, not greater than about 4, not greater than about 3.5, or even notgreater than about 3. Still, in one non-limiting embodiment, the arearatio may be at least about 1.1, such as at least about 1.3, or even atleast about 1.8. It will be appreciated that the area ratio can bewithin a range between any of the minimum and maximum values notedabove.

In accordance with one embodiment, the shaped abrasive particles of theembodiments herein, including for example, the particle of FIGS. 13 and14 can have a normalized height difference of at least about 40. Thenormalized height difference can be defined by the equation[(h1−h2)/(h1/h2)], wherein h1 is greater than h2. In other embodiments,the normalized height difference can be at least about 43, at leastabout 46, at least about 50, at least about 53, at least about 56, atleast about 60, at least about 63, or even at least about 66. Still, inone particular embodiment, the normalized height difference can be notgreater than about 200, such as not greater than about 180, not greaterthan about 140, or even not greater than about 110.

In another embodiment, the shaped abrasive particles herein, includingfor example, the particle of FIGS. 13 and 14 can have a heightvariation. Without wishing to be tied to a particular theory, it isthought that a certain height variation between shaped abrasiveparticles, can improve a variety of cutting surfaces, and may improvegrinding performance of an abrasive article incorporating the shapedabrasive particles herein. The height variation can be calculated as thestandard deviation of height difference for a sample of shaped abrasiveparticles. In one particular embodiment, the height variation of asample can be at least about 20. For other embodiments, the heightvariation can be greater, such as at least about 22, at least about 24,at least about 26, at least about 28, at least about 30, at least about32, or even at least about 34. Still, in one non-limiting embodiment,the height variation may be not greater than about 180, such as notgreater than about 150, or even not greater than about 120. It will beappreciated that the height variation can be within a range between anyof the minimum and maximum values noted above.

According to another embodiment, the shaped abrasive particles herein,including for example the particles of FIGS. 13 and 14 can have anellipsoidal region 1317 in the upper surface 1303 of the body 1301. Theellipsoidal region 1317 can be defined by a trench region 1318 that canextend around the upper surface 1303 and define the ellipsoidal region1317. The ellipsoidal region 1317 can encompass the midpoint 1381.Moreover, it is thought that the ellipsoidal region 1317 defined in theupper surface can be an artifact of the forming process, and may beformed as a result of the stresses imposed on the mixture duringformation of the shaped abrasive particles according to the methodsdescribed herein.

Moreover, the rake angle described in accordance with other embodimentsherein can be applicable to the body 1301. Likewise, all other featuresdescribed herein, such as the contours of side surfaces, upper surfaces,and bottom surfaces, the upright orientation probability, primary aspectratio, secondary aspect ratio, tertiary aspect ratio, and composition,can be applicable to the exemplary shaped abrasive particle illustratedin FIGS. 13 and 14.

While the foregoing features of height difference, height variation, andnormalized height difference have been described in relation to theabrasive particle of FIGS. 13 and 14, it will be appreciated that suchfeatures can apply to any other shaped abrasive particles describedherein, including for example, abrasive particles having a substantiallytrapezoidal two-dimensional shape.

The shaped abrasive particles of the embodiments herein may include adopant material, which can include an element or compound such as analkali element, alkaline earth element, rare earth element, hafnium,zirconium, niobium, tantalum, molybdenum, vanadium, or a combinationthereof. In one particular embodiment, the dopant material includes anelement or compound including an element such as lithium, sodium,potassium, magnesium, calcium, strontium, barium, scandium, yttrium,lanthanum, cesium, praseodymium, niobium, hafnium, zirconium, tantalum,molybdenum, vanadium, chromium, cobalt, iron, germanium, manganese,nickel, titanium, zinc, and a combination thereof.

In certain instances, the shaped abrasive particles can be formed tohave a specific content of dopant material. For example, the body of ashaped abrasive particle may include not greater than about 12 wt % forthe total weight of the body. In other instances, the amount of dopantmaterial can be less, such as not greater than about 11 wt %, notgreater than about 10 wt %, not greater than about 9 wt %, not greaterthan about 8 wt %, not greater than about 7 wt %, not greater than about6 wt %, or even not greater than about 5 wt % for the total weight ofthe body. In at least one non-limiting embodiment, the amount of dopantmaterial can be at least about 0.5 wt %, such at least about 1 wt %, atleast about 1.3 wt %, at least about 1.8 wt %, at least about 2 wt %, atleast about 2.3 wt %, at least about 2.8 wt %, or even at least about 3wt % for the total weight of the body. It will be appreciated that theamount of dopant material within the body of the shaped abrasiveparticle can be within a range between any of the minimum or maximumpercentages noted above.

Referring to FIG. 15, a bonded abrasive wheel is shown and is generallydesignated 1500. As shown, the bonded abrasive wheel 1500 can include agenerally cylindrical bonded abrasive body 5102. It can be appreciatedthat the bonded abrasive wheel 1500 may include any geometric shape. Thebonded abrasive body 1502 can include a single-layered abrasive toolthat includes a substrate 1504 and a single layer of abrasive particles1506 attached to the substrate 1504 with a layer of bond material 1508.The abrasive particles can be silicon nitride abrasive particlesaccording to one or more embodiments described herein.

In a particular embodiment, the layer of bond material 1508 can bedisposed between the layer of abrasive particles 1506 and the substrate1504. Further, a portion of the abrasive particles 1506 can contact thesubstrate 1504 through the layer of the bond material 1508. In anotheraspect, a minority portion of the abrasive particles 1506 can be coveredby the bond material 1508.

Additionally, a portion of the abrasive particles 1506 can protrude fromthe bond material 1508 and can contact the substrate 1504 that isunderlying the bond material 1508. In particular, a majority portion ofthe abrasive particles 1506 can protrude from the bond material 1508 andcan contact the substrate 1504 that is underlying the bond material1508.

In an embodiment, the bond material 1508 can include an organicmaterial. In particular, the bond material can include a resin. Further,the bond material 1508 can include a phenolic resin. The bond material1508 can consist essentially of a phenolic resin.

In another embodiment, the bond material 1508 can include an inorganicmaterial. For example, the bond material 1508 can include a materialthat can be selected from the group consisting of a metal, metal alloy,oxide, and a combination thereof. The bond material 1508 may alsoinclude a vitreous phase material. Specifically, the bond material 1508can include an oxide, and the oxide can include an element selected fromthe group consisting of Si, Al, Na, Mg, Ca, K, B, P, and a combinationthereof. In another aspect, the bond material 1508 can include a hybridbond that can include an organic material and an inorganic material.

In another aspect, the abrasive particles 1506 can include a majoritycontent of silicon nitride and a minority content of sintering materialincluding Nd₂O₃ and Y₂O₃, where the abrasive particles 1506 comprise acontent (wt %) of Nd₂O₃ greater than a content of Y₂O₃ (wt %). Moreover,the abrasive particles 1506 can comprise a total content of rare earthoxide greater than a content of alumina. The abrasive particles 1506 caninclude a content (wt %) of alumina that is less than a content (wt %)of a rare earth oxide composition. The abrasive particles 1506 caninclude a content (wt %) of alumina that is less than a content (wt %)of Y₂O₃. Further, the abrasive particles 1506 can include a content (wt%) of alumina that is less than a content (wt %) of Nd₂O₃.

Specifically, the abrasive particles 1506 can include a content ofalumina (wt %) that is between about 0.3 and about 0.7 of a content (wt%) of a rare earth oxide composition. The abrasive particles 1506 caninclude a content of alumina (wt %) that is between about 0.3 and about0.7 of a content (wt %) of Nd₂O₃. In another aspect, the abrasiveparticles 1506 can be essentially free of materials selected from thegroup consisting of La₂O₃, MgO, ZrO₂, HfO₂, SiO₂, Fe₂O₃, Gd₂O₃, Lu₂O₃,Fe, W, Mo, Cu, and elemental Si.

In another embodiment, the abrasive particles 1506 can include nogreater than about 13 wt % of a rare earth oxide, no greater than about10 wt % of a rare earth oxide, no greater than about 8.5 wt % of a rareearth oxide, or even no greater than about 8.2 wt % of a rare earthoxide for the total weight of the abrasive particles. The abrasiveparticles 506 can include at least about 2 wt % of a rare earth oxide,at least about 5 wt % of a rare earth oxide, at least about 6.5 wt % ofa rare earth oxide, or at least about 7.8 wt % of a rare earth oxide forthe total weight of the abrasive particles. It will be appreciated thatthe amount of rare earth oxide of each abrasive particle can be within arange between, or including, any of the minimum and maximum percentagesnoted above.

The abrasive particles 1506 can include no greater than about 5 wt %Y₂O₃, no greater than about 4.5 wt % Y₂O₃, no greater than about 4 wt %Y₂O₃, no greater than about 3.5 wt % Y₂O₃, or no greater than about 3.2wt % Y₂O₃ for the total weight of the abrasive particles. Also, theabrasive particles 506 can include at least about 1 wt % Y₂O₃, at leastabout 1.5 wt % Y₂O₃, at least about 2 wt % Y2O3, or at least about 2.8wt % Y₂O₃ for the total weight of the abrasive particles. It will beappreciated that the amount of Y₂O₃ of each abrasive particle can bewithin a range between, or including, any of the minimum and maximumpercentages noted above.

In another aspect, the abrasive particles 1506 can include no greaterthan about 7 wt % Nd₂O₃, no greater than about 6.5 wt % Nd₂O₃, nogreater than about 6 wt % Nd₂O₃, no greater than about 5.5 wt % Nd₂O₃,or even no greater than about 5.1 wt % Nd₂O₃ for the total weight of theabrasive particles. Moreover, the abrasive particles 506 can include atleast about 3 wt % Nd₂O₃, at least about 3.5 wt % Nd₂O₃, at least about4 wt % Nd2O3, or at least about 4.8 wt % Nd₂O₃ for the total weight ofthe abrasive particles. It will be appreciated that the amount of Nd₂O₃of each abrasive particle can be within a range between, or including,any of the minimum and maximum percentages noted above.

In still another aspect, the abrasive particles 1506 can include AlN.Specifically, the abrasive particles 1506 can include no greater thanabout 3 wt % AlN, no greater than about 2.5 wt % AlN, no greater thanabout 2 wt % AlN, no greater than about 1.5 wt % AlN, or even no greaterthan about 1 wt % AlN for the total weight of the abrasive particles.Moreover, the abrasive particles 506 can include at least about 0.05 wt% AlN, at least about 0.1 wt % AlN, at least about 0.3 wt % AlN, or atleast about 0.5 wt % AlN for the total weight of the abrasive particles.It will be appreciated that the amount of AlN of each abrasive particlecan be within a range between, or including, any of the minimum andmaximum percentages noted above.

In another embodiment, the abrasive particles 1506 can include Ti.Further, the abrasive particles 1506 can include TiC. The abrasiveparticles 506 can include no greater than about 3 wt % TiC, no greaterthan about 2.5 wt % TiC, no greater than about 2 wt % TiC, no greaterthan about 1.5 wt % TiC, or even no greater than about 1 wt % TiC forthe total weight of the abrasive particles. Also, the abrasive particles506 can include at least about 0.05 wt % TiC, at least about 0.1 wt %AlN, at least about 0.2 wt % TiC, or at least about 0.4 wt % TiC for thetotal weight of the abrasive particles. It will be appreciated that theamount of TiC of each abrasive particle can be within a range between,or including, any of the minimum and maximum percentages noted above.

In another aspect, the abrasive particles 1506 can consist essentiallyof silicon nitride and a sintering phase comprising an oxide.Additionally, the abrasive particles 506 can include liquid phasesintered silicon nitride.

In another embodiment, the abrasive particles 1506 can includebeta-phase silicon nitride. In particular, the abrasive particles 1506can include a majority content (>50 wt %) of beta-phase silicon nitride.Further, the abrasive particles 1506 can consist essentially ofbeta-phase silicon nitride.

It is to be understood that the abrasive particles 1506 can includeabrasive grains having an elongated shape. The elongated grains can anaspect ratio of length:width of at least about 1.5:1, at least about5:1, or at least about 10:1. Further, the aspect ratio may be no greaterthan about 65:1, no greater than about 45:1, no greater than about 20:1,no greater than about 15:1, or no greater than about 12:1. It will beappreciated that the aspect ratio can be within a range between, orincluding, any of the minimum and maximum ratios noted above.

FIG. 16 illustrates another abrasive article 1600. The abrasive article1600 can include a body 1602. The body 1602 can include a single-layerof abrasive particles contained within a bond material that includes anorganic material. In such an embodiment, the abrasive particles caninclude a majority content of silicon nitride and a minority content ofsintering material that can include at least two rare-earth oxidematerials. In an embodiment, the abrasive particles contained within thebond material of the body 1602 can have substantially the samecomposition as the abrasive particles 1506 and the bond material 1508 ofthe body 1502 shown in FIG. 15.

FIG. 17 shows yet another abrasive article 1700. As shown in FIG. 17,the abrasive article 1700 can be a single-layered bonded abrasive toolthat includes a substrate 1702 and a layer of bond material 1704 thatcan overlay a surface of the substrate 1702. Abrasive particles 1706 canbe adhered within the bond material 1704 and attached to the surface ofthe substrate 1702. The abrasive particles 1706 can include liquid-phasesintered silicon nitride. In an embodiment, the abrasive particles 1706contained within the bond material 1704 of the abrasive article 1700 canhave substantially the same composition as the abrasive particles 1506and the bond material 1508 of the body 1502 shown in FIG. 15.

According to embodiments herein, a body can include abrasive particlesthat include silicon nitride contained within a bond material. The bodycan have a G-ratio of at least about 250 for a grinding operationconducted at a speed of at least about 50 feet/minute, for a depth ofcut of at least about 0.0002 inches [5.08 μm] on a metal workpiece,where the G-ratio is a measure of weight of the material removed fromthe workpiece relative to the weight of material lost from the body. Insome cases, the bond material can include an organic material.

For any of the embodiments described herein, the G-ratio can be at leastabout 275, at least about 280, at least about 290, or even at leastabout 300 for a grinding operation conducted at a speed of at leastabout 60 revolutions/minute and a depth of cut of at least about 0.0002inches [5.08 μm] on a workpiece of bearing steel.

Further, for any of the embodiments herein, the G-ratio can be at leastabout 275, at least about 300, at least about 400, at least about 500,at least about 600, at least about 900, or at least about 1000 for agrinding operation conducted at speed of at least about 60revolutions/minute and a depth of cut of at least about 0.0005 inches[12.7 μm] on a workpiece of titanium alloy.

Additionally, for any of the embodiments herein, the G-ratio can be atleast about 125, at least about 140, at least about 160, at least about170, or at least about 180 for a grinding operation conducted at speedof at least about 60 revolutions/minute and a depth of cut of at leastabout 0.0005 inches [12.7 μm] on a workpiece of 304 stainless steel.

Moreover, the G-ratio for any embodiments herein can be at least about110, at least about 115, or at least about 120 for a grinding operationconducted at speed of at least about 60 revolutions/minute and a depthof cut of at least about 0.0015 inches [38.1 μm] on a workpiece of 304stainless steel.

Further, for any of the embodiments herein, the G-ratio can be at leastabout 500, at least about 800, at least about 1300, at least about 1700,at least about 2100, at least about 2400, or at least about 2750 for agrinding operation conducted at speed of at least about 60revolutions/minute and a depth of cut of at least about 0.0015 inches[12.7 μm] on a workpiece of white cast iron.

It can be appreciated that the embodiments herein may be used to grindor polish a workpiece. For example, the workpiece can include a metalthat can be selected from the group of metals consisting of iron, steel,titanium, titanium alloys, nickel, nickel alloys, and a combinationthereof. The workpiece can consist essentially of steel. Alternatively,the workpiece can consist essentially of white cast iron. Moreover, theworkpiece can consist essentially of titanium alloy (6A1-4V Grade 5).

EXAMPLES

Abrasive grains for Example 1 grinding wheels are formed by providing amixture having the following composition:

-   -   88.02 wt % Silicon nitride powder    -   3.07 wt % Y₂O₃ powder    -   2.55 wt % Al₂O₃ powder    -   0.9 wt % AlN powder    -   4.96 wt % Nd₂O₃ powder    -   0.5 wt % TiC powder

The mixture is milled in an aqueous medium comprising 80% H₂O and 20%IPA to a surface area of approximately 12.5 m²/g and an average particlesize of approximately 0.8 microns. The milled powder is freeze dried andsubsequently screened. The screened powder is sintered at 1750° C. for90 minutes in a nitrogen environment followed by a hot isostatic presstreatment at 1800° C. for 2 hours at 30 Ksi. The densified particles aremilled and screened into two different grit sizes of 36 and 54 meshesand used to make single layer grinding wheels for grinding evaluation.

The grinding wheels are tested against a wet titanium alloy workpieceand a dry white cast iron workpiece placed on a 2-axis hydraulic surfacegrinding machine sold by Okamoto Corporation as model 6•18 DX. The tablespeed of the grinder is 60 feet/minute at an infeed (i.e., cut depth) ofapproximately 0.0005 inches. The grinding tests are conducted until theabrasive grains are depleted and grinding wheels stopped removingmaterial from the workpiece. A grinding wheel having silicon nitrideparticles formed according to Example 1 is tested against a grindingwheel having SiC abrasives. The results of the testing are shown in FIG.18 and FIG. 19.

FIG. 18 includes a bar chart 1800 that illustrates a G-ratio for variousbonded abrasive grinding wheels used to grind a white cast ironworkpiece. A first grinding wheel includes Hexoloy® silicon carbideabrasive particles available from Saint-Gobain Corporation within a bondmaterial. A second grinding wheel includes the silicon nitride particlesof Example 1 contained within the bond material. A third grinding wheelincludes silicon nitride particles, according to an embodiment herein,contained within the bond material. The first, second, and thirdgrinding wheels each contain particles having a grit size of 36 mesh.The bond composition of the first, second, and third grinding wheels issubstantially the same.

A fourth grinding wheel includes Hexoloy® silicon carbide abrasiveparticles available from Saint-Gobain Corporation within a bondmaterial. A fifth grinding wheel includes the silicon nitride particlesof Example 1 contained within the bond material. A sixth grinding wheelincludes silicon nitride particles, according to an embodiment herein,contained within the bond material. The fourth, fifth, and sixthgrinding wheels each contain particles having a grit size of 54 mesh.The bond composition of the fourth, fifth, and sixth grinding wheels issubstantially the same.

G-ratios are determined for the grinding wheels by measuring the workpiece material removal rate in relation to the weight loss from thegrinding wheels under the test conditions described previously. Asshown, the first grinding wheel has a G-ratio of about 122. The secondgrinding wheel has a G-ratio of about 1714. The third grinding wheelincluded a G-ratio of about 1000. The fourth grinding wheel has aG-ratio of about 100. The fifth grinding wheel has a G-ratio of about2089. Finally, the sixth grinding wheel has a G-ratio of about 2090.

FIG. 19 includes a bar chart 1900 that illustrates a G-ratio for variousbonded abrasive grinding wheels used to grind a titanium alloy workpieceunder the test conditions described previously. A first grinding wheelincludes Hexoloy® silicon carbide abrasive particles available fromSaint-Gobain Corporation within a bond material. A second grinding wheelincludes the silicon nitride particles of Example 1 contained within thebond material. A third grinding wheel includes silicon nitrideparticles, according to an embodiment herein, contained within the bondmaterial. The first, second, and third grinding wheels each containparticles having a grit size of 36 mesh.

A fourth grinding wheel includes Hexoloy® silicon carbide abrasiveparticles available from Saint-Gobain Corporation within a bondmaterial. A fifth grinding wheel includes the silicon nitride particlesof Example 1 contained within the bond material. A sixth grinding wheelincludes silicon nitride particles, according to an embodiment herein,contained within the bond material. The fourth, fifth, and sixthgrinding wheels each contain particles having a grit size of 54 mesh.

As shown, the first grinding wheel has a G-ratio of about 105. Thesecond grinding wheel has a G-ratio of about 975. The third grindingwheel has a G-ratio of about 1000. The fourth grinding wheel has aG-ratio of about 101. The fifth grinding wheel has a G-ratio of about940. Finally, the sixth grinding wheel has a G-ratio of about 940.

Additional testing is performed using a wet titanium alloy workpiece anda dry white cast iron workpiece placed on a 2-axis hydraulic surfacegrinding machine sold by Okamoto Corporation as model 6•18 DX. The tablespeed of the grinder is 60 feet/minute at an infeed (i.e., cut depth) ofapproximately 0.0005 inches for the titanium alloy workpiece and aninfeed of approximately 0.0015 inches for the white cast iron workpiece.FIG. 20 includes a bar chart 2000 that illustrates the relativeperformance ratios of three grinding wheels that are used to wet grindthe titanium alloy workpiece. FIG. 21 includes a bar chart 2100 thatillustrates the relative performance ratios of three grinding wheelsthat are used to dry grind the white cast iron workpiece. The grindingoperations are conducted until the abrasive grains are essentiallydepleted and the wheels longer cut. The relative performance ratio isalso referred to herein as the G-ratio and is determined by measuringthe work piece material removal rate in relation to the weight loss fromthe grinding wheels during the testing procedure.

The grinding operations are conducted with grinding wheels havingsilicon carbide abrasive grains and silicon nitride abrasive grains. Theabrasive grains of the sample 1 wheels include silicon carbide grainsthat are formed according to a conventional process. The abrasive grainsof the sample 2 wheels and the sample 3 wheels include silicon nitridegrains that are formed according to processes described in embodimentsherein. The process used to make the sample 2 abrasive grains variesfrom the process used to make the sample 3 abrasive grains in that AlNwas not co-milled with the silicon nitride powder and other dry mixturematerials when making the sample 3 abrasive grains, but AlN is addedseparately after milling the dry mixture. The average particle size ofthe silicon nitride powder used to make the abrasive grains of thesample 2-3 wheels is within a range of about 235 microns to about 450microns.

The relative performance ratio illustrated in FIG. 20 for a sample 1grinding wheel is about 146.67, while the relative performance ratio isabout 1118.22 for a sample 2 grinding wheel and about 1373.78 for asample 3 grinding wheel. As indicated in FIG. 21, the relativeperformance ratio for a sample 1 grinding wheel is about 40.16, therelative performance ratio for a sample 2 grinding wheel is about1697.58, and the relative performance ratio for a sample 3 grindingwheel was about 2689.52.

The grinding wheels for samples 2 and 3 demonstrate remarkable andunexpected results compared to the results of the sample 1 grindingwheels. In particular, with respect to the grinding of a titanium alloyworkpiece, the relative performance ratios of the sample 2 and sample 3grinding wheels have an improvement of at least 7.5 times over theresults from the sample 1 grinding wheel. Furthermore, with respect tothe grinding of a white cast iron workpiece, the relative performanceratios of the sample 2 and sample 3 grinding wheels have an improvementof at least about 40 times over the results from the sample 1 grindingwheel.

The foregoing embodiments are directed to abrasive grains that representa departure from the state-of-the-art and include silicon nitrideabrasive grains that have improved performance over conventional siliconnitride abrasives and over other conventional abrasive grains, such assilicon carbide abrasive grains. As described in the presentapplication, the silicon nitride abrasive grains have a combination offeatures that facilitate improved grinding performance. In particular,the silicon nitride abrasive grains described herein have a compositionthat provides a higher theoretical density and fewer pores when comparedwith conventional silicon nitride abrasive grains. For example, asillustrated in FIG. 6, the number of voids in the abrasive grains formedaccording to a conventional process is much higher than the number ofvoids in the abrasive grains formed according to embodiments describedherein, which are illustrated in FIG. 2, FIG. 3, FIG. 4, and FIG. 5. Itwill be appreciated that the abrasive grain 300 illustrated in FIG. 3corresponds to the abrasive grains included in the sample 2 grindingwheels and the abrasive grain 500 illustrated in FIG. 5 corresponds tothe abrasive grains included in the sample 3 grinding wheels. Withoutbeing bound to a particular theory, the improved grinding performance oftools using silicon nitride abrasive grains formed as described hereincan be attributed to the improved densification and toughness achieveddue to the particular combination of features of the silicon nitrideabrasive grains formed according to embodiments herein. The elongatednature of the silicon nitride abrasive grains formed according toembodiments described herein may also aid in the improved grindingperformance over conventional silicon nitride abrasive grains.Furthermore, the processes used to form silicon nitride abrasive grainsdescribed in embodiments herein represent a departure from thestate-of-the-art processes. In particular, conventional silicon nitrideabrasive grain processes have been unable to effectively sinter thesilicon nitride powders to achieve the densification and toughnessneeded for suitable grinding performance. However, the liquid phasesintering process described herein can be used to produce siliconnitride abrasive grains that have improved performance not only overother silicon nitride abrasive grains, but also over other conventionalabrasive grains.

What is claimed is:
 1. A shaped abrasive particle comprising: a bodyhaving (i) a majority content of silicon nitride; and (ii) a minoritycontent of sintering material including Nd₂O₃ and Y₂O₃, wherein theshaped abrasive particle comprises a content (wt %) of Nd₂O₃ greaterthan a content (wt %) of Y₂O₃; wherein the body of the shaped abrasiveparticle has a two-dimensional shape as viewed in a plane defined by alength and a width of the body; and wherein the two-dimensional shape isselected from the group consisting of a polygonal shape, an ellipsoidalshape, a numeral, a Greek alphabet character, a Latin alphabetcharacter, a Russian alphabet character, and a complex shape utilizing acombination of polygonal shapes.
 2. The shaped abrasive particle ofclaim 1, wherein the body of the shaped abrasive particle is part of acoated abrasive article or a bonded abrasive article.
 3. The shapedabrasive particle of claim 1, wherein the body of the shaped abrasiveparticle comprises no greater than 5 vol % porosity.
 4. The shapedabrasive particle of claim 1, wherein a side face of the shaped abrasiveparticle is convex or concave.
 5. The shaped abrasive particle of claim1, wherein the shaped abrasive particle comprises a total content ofrare earth oxide greater than a content of alumina.
 6. The shapedabrasive particle of claim 1, wherein the shaped abrasive particlecomprises no greater than 10 wt % of a dopant material.
 7. The shapedabrasive particle of claim 6, wherein the dopant material is selectedfrom the group consisting of an alkali element, an alkaline earthelement, a rare earth element, hafnium, zirconium, niobium, tantalum,molybdenum, vanadium, or a combination thereof.
 8. The shaped abrasiveparticle of claim 1, wherein the body of the shaped abrasive particlehas a first height, h₁, at a first end of the body, and a second height,h₂ at a second end of the body opposite the first end, and wherein h₁ isdifferent than h₂.
 9. The shaped abrasive particle of claim 1, whereinthe shaped abrasive particle comprises a majority content (>50 wt %) ofbeta-phase silicon nitride.
 10. The shaped abrasive particle of claim 1,wherein the shaped abrasive particle has a base surface and an uppersurface, and wherein the base surface has a planar shape different thana planar shape of the upper surface.
 11. The shaped abrasive particle ofclaim 1, wherein the shaped abrasive particle has a center of mass and ageometric midpoint, and wherein the center of mass is disposed at adifferent location than the geometric midpoint.
 12. The shaped abrasiveparticle of claim 1, wherein the shaped abrasive particle has a twistangle rotatably offsetting opposing end faces of the shaped abrasiveparticle, the twist angle being less than 360°.
 13. The shaped abrasiveparticle of claim 1, wherein the shaped abrasive particle has: an aspectratio of length:width of at least 1:1, an aspect ratio of height:widthof at least 0.5:1, an aspect ratio of length:height of at least 1:1, ora combination thereof.
 14. The shaped abrasive particle of claim 1,wherein the shaped abrasive particle further comprises a sintering aid.15. The shaped abrasive particle of claim 14, wherein the sintering aidcomprises an oxide selected from the group consisting of Al₂O₃, MgO,TiO₂, AlN, or a combination thereof.
 16. The shaped abrasive particle ofclaim 14, wherein the sintering aid comprises no greater than 13.2 wt %of the shaped abrasive particle.
 17. The shaped abrasive particle ofclaim 1, wherein the shaped abrasive particle comprises a polyhedron.18. A batch of shaped abrasive particles comprising: a plurality ofshaped abrasive particles, wherein each shaped abrasive particle of theplurality of shaped abrasive particles comprises: a body having (i) amajority content of silicon nitride; and (ii) a minority content ofsintering material including Nd₂O₃ and Y₂O₃, wherein the shaped abrasiveparticle comprises a content (wt %) of Nd₂O₃ greater than a content (wt%) of Y₂O₃; wherein the body of the shaped abrasive particle has atwo-dimensional shape as viewed in a plane defined by a length and awidth of the body; and wherein the two-dimensional shape is selectedfrom the group consisting of a polygonal shape, an ellipsoidal shape, anumeral, a Greek alphabet character, a Latin alphabet character, aRussian alphabet character, and a complex shape utilizing a combinationof polygonal shapes.